What is the Least Common Multiple of 24628 and 24641?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 24628 and 24641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24628 and 24641, than apply into the LCM equation.

GCF(24628,24641) = 1
LCM(24628,24641) = ( 24628 × 24641) / 1
LCM(24628,24641) = 606858548 / 1
LCM(24628,24641) = 606858548

Least Common Multiple (LCM) of 24628 and 24641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24628 and 24641. First we will calculate the prime factors of 24628 and 24641.

Prime Factorization of 24628

Prime Factorization of 24641

Now multiplying the highest exponent prime factors to calculate the LCM of 24628 and 24641.

LCM(24628,24641) = 2² × 47¹ × 131¹ × 41¹ × 601¹
LCM(24628,24641) = 606858548